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Finding the Fourth Proportional to 333.86, 500.61 and 114.45

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Solution

The fourth proportional to 333.86, 500.61 and 114.45 is: 171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.86 : 500.61 = 114.45 : x
  2. Step 2: Convert to fraction form
    333.86/500.61 = 114.45/x
  3. Step 3: Cross multiply
    333.86x = 500.61 × 114.45
  4. Step 4: Simplify right side
    333.86x = 57,293.37
  5. Step 5: Solve for x
    x = 57,293.37/333.86
  6. Step 6: Final answer
    x = 171.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.